Ivan Cherednik

Ivan Vladimirovich Tscherednik (Russian: Иван Владимирович Чередник, English transcription Ivan Cherednik, born December 3, 1951 in Moscow ) is a Russian mathematician.

Tscherednik is a student of Yuri Manin, made in 1973 at the Lomonosov University in Moscow a degree in mathematics and received his doctorate there in 1976. In 1984 he was at the Steklov Institute habilitation (Russian doctorate degrees). He is a professor at the University of North Carolina.

Tscherednik developed an access to harmonic analysis on affine Heckealgebren ( originally from the theory of p- adic modular forms originate ), proved there a duality theorem for difference Fourier transformations and applied his theory to the combinatorics (Proof of the MacDonald identities 1995) and representation theory. He also deals with algebraic geometry and number theory, quantum groups and Theory of Soliton Equations.

In 1998 he was invited speaker at the International Congress of Mathematicians in Berlin ( From Double Hecke algebra to analysis).

Writings

  • Double affine Hecke algebras. London Mathematical Society Lecture Note Series, Cambridge University Press 2005
  • Publisher: Iwahori - Hecke algebras and Their representation theory. Springer 2002 ( Lectures at the CIME Summer School in Martina Franca, Italy 1999)
  • Basic Methods of Soliton Theory. World Scientific 1996
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